Math

solving using the solution method.
x+10y=41
x+9y=37













=

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  1. I assume you mean the substitution method:

    Eq1: X + 10Y = 41.
    Eq2: X + 9Y = 37.
    Multiply both sides of Eq1 by -1 and
    add the 2 Eqs:
    -X - 10Y = -41.
    X + 9Y = 37.
    Sum: 0 - Y = -4,
    Y = 4.
    In Eq2, substitute 4 for Y:
    X + 9*4 = 37,
    X = 37 - 36 = 1.

    Solution Set = (X,Y) = (1,4).

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    posted by Henry
  2. Substitution Method:
    Eq1: X + 10Y = 41.
    Eq2: X + 9Y = 37.
    In Eq1, solve for X and get:
    X = -10Y + 41,
    In Eq2,substitute -10Y + 41 for X:
    (-10Y+41) + 9Y = 37,
    -Y = 37 - 41 = -4,
    Y = 4.

    In Eq1, substitute 4 for Y:
    X + 9*4 = 37,
    X = 37 - 36 = 1.

    Solution Set = (X,Y) = (1,4).

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    2. 👎 0
    posted by Henry

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